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4.3.2 Statistical hypothesis testing (A-level only)

4.3.2 Statistical hypothesis testing (A-level only)

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Question 64

The net weight of industrial chemical canisters, WWW kg, follows a normal distribution with an unknown mean μ\muμ and a known standard deviation σ\sigmaσ. A logistical analysis of a random sample of 100 canisters resulted in a 95% confidence interval for μ\muμ of (74.14,75.46)(74.14, 75.46)(74.14,75.46).

a.

Without performing any additional calculations, utilize this confidence interval to test the claim that μ=75.6\mu = 75.6μ=75.6. State the null and alternative hypotheses clearly and specify the significance level used for the test.

[3]
b.

A separate random sample of 144 canisters was found to have a mean weight of 74.8574.8574.85 kg.

Determine a 98% confidence interval for μ\muμ based on this second sample.

[6]
Markscheme

4.3.2 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.3.2 Statistical hypothesis testing (A-level only)

130 exam-style questions on WJEC A Level Maths 4.3.2 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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